# Overlap Coefficients Based on Kullback-Leibler Divergence: Exponential Populations Case

arXiv: https://arxiv.org/abs/1704.02671 · HTML: https://mlsanity.com/paper/1704.02671/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 9 Apr 2017.

## Built on by (most cited first, 1 of 1)

- [Towards Calibrated Hyper-Sphere Representation via Distribution Overlap Coefficient for Long-tailed Learning](https://mlsanity.com/paper/2208.10043/) (2022)

## Abstract (arXiv)

This article is devoted to the study of overlap measures of densities of two exponential populations. Various Overlapping Coefficients, namely: Matusita's measure ρ, Morisita's measure λ and Weitzman's measure Delta. A new overlap measure Lambda based on Kullback-Leibler measure is proposed. The invariance property and a method of statistical inference of these coefficients also are presented. Taylor series approximation are used to construct confidence intervals for the overlap measures. The bias and mean square error properties of the estimators are studied through a simulation study.